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10628508 = 22311731103
BaseRepresentation
bin101000100010…
…110110011100
3201222222120110
4220202312130
510210103013
61015450020
7156224622
oct50426634
921888513
1010628508
115aaa3a0
123686910
132281977
1415a9512
15dee2c3
hexa22d9c

10628508 has 48 divisors (see below), whose sum is σ = 27449856. Its totient is φ = 3173760.

The previous prime is 10628479. The next prime is 10628521. The reversal of 10628508 is 80582601.

It is a super-2 number, since 2×106285082 = 225930364612128, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9085 + ... + 10187.

It is an arithmetic number, because the mean of its divisors is an integer number (571872).

Almost surely, 210628508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10628508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13724928).

10628508 is an abundant number, since it is smaller than the sum of its proper divisors (16821348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10628508 is a wasteful number, since it uses less digits than its factorization.

10628508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 10628508 is about 3260.1392608292. The cubic root of 10628508 is about 219.8656755786.

The spelling of 10628508 in words is "ten million, six hundred twenty-eight thousand, five hundred eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 73 132 146 219 292 438 803 876 1103 1606 2206 2409 3212 3309 4412 4818 6618 9636 12133 13236 24266 36399 48532 72798 80519 145596 161038 241557 322076 483114 885709 966228 1771418 2657127 3542836 5314254 10628508